Tracer diffusion on heterogeneous surfaces is studied by Monte Carlo s
imulations. The energetic surface topography is described by a dual si
te-bond model where site and saddle points (bond) energies are incorpo
rated in a general way. The case of uniform energetic distributions is
studied and the behavior of the diffusion coefficient is analyzed for
several topographies: random traps, random barriers, random sites-bon
ds, correlated traps, correlated barriers, and correlated sites-bonds,
for different correlation degrees. The conditions under which the tem
perature dependence of the tracer diffusion coefficient shows a non-Ar
rhenian behavior are discussed. The jump correlation factor is also an
alyzed since the jump mechanism plays a fundamental role in this treat
ment. Surface diffusion emerges as an important tool for the character
ization of the energetic topography on heterogeneous surfaces.